Question

Calculate (4.8×10^−3) − (9.4×10^−6) Express the answer in scientific notation rounding to 2 decimal places.

Answer 1

To calculate \( (4.8 \times 10^{-3}) - (9.4 \times 10^{-6}) \), we first need to express both numbers in the same power of ten.

The first term is \( 4.8 \times 10^{-3} \). We can express \( 9.4 \times 10^{-6} \) in terms of \( 10^{-3} \) to make the subtraction easier:

\[
9.4 \times 10^{-6} = 0.0094 \times 10^{-3}
\]

Now we can rewrite \( 9.4 \times 10^{-6} \):
\[
9.4 \times 10^{-6} = 0.0094 \times 10^{-3}
\]

Now we can perform the subtraction:
\[
(4.8 \times 10^{-3}) - (0.0094 \times 10^{-3}) = (4.8 - 0.0094) \times 10^{-3}
\]

Calculating \( 4.8 - 0.0094 \):
\[
4.8 - 0.0094 = 4.7906
\]

So we have:
\[
(4.7906) \times 10^{-3}
\]

Now, we need to express this in scientific notation and round to 2 decimal places:
\[
4.7906 \times 10^{-3} \approx 4.79 \times 10^{-3}
\]

Thus, the final answer is:
\[
\boxed{4.79 \times 10^{-3}}
\]